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Let the x-z plane be the boundary betwee...

Let the x-z plane be the boundary between two transparent media. Medium 1 in `zge0` has a refractive index of `sqrt2` and medium 2 with `zlt0` has a refractive index of `sqrt3`. A ray of light in medium 1 given by the vector `vecA=6sqrt3hati+8sqrt3hatj-10hatk` is incident on the plane of separation. The angle of refraction in medium 2 is:

A

`45^(@)`

B

`60^(@)`

C

`75^(@)`

D

`30^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
Angle of incidence is given by
`cos(pi-i)=((6sqrt3hati+8sqrt3hatj-10hatk).hatk)/(20)`
`-cosi=-(1)/(2)`
`angle=60^(@)`
From Snell.s law,
`sqrt2sin i=sqrt3 sinr`
`angler=45^(@)`
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DISHA PUBLICATION-RAY OPTICS AND OPTICAL INSTRUMENTS-Exercise - 1 : Concept Builder (Topicwise)(Topic 2 : Refraction of Light at Plane Surface and Total Internal Reflection)
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